Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: There are fractals, and there are fractles. And then there are fractal fractles. Today's image illustrates one of these fractal fractles. The more quizzical will wonder what makes today's image one of those special fractals known as fractles. Well, a fractle has a certain loopiness about it that is absent in a normal everyday fractal. The difference is easier seen than described, however. So at this point I refer the curious to the image itself, which was created by the formula -3(Z(-3))-2(Z^(-5))+(1/C). The parameter file runs in 17 minutes; the GIF image downloads in 1 minute. The GIF image file will soon be posted to: The fractal weather today was a bit too chilly and breezy, but otherwise perfect. The cats spent an hour in the sunshine and temperature of 68F (20C). That's it for now. The work is piled up. So until next time, take care, and keep a fractal outlook on life. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Fractles { ; time=0:16:59.69--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+72.39153539875655000/-1.60065119378225\
300/2882.043/1/25 params=1/-3/0.667/-5/-4/0 float=y
maxiter=2400 inside=0 logmap=304 periodicity=10
colors=00005c05g08i0Bk0Em0Ho0Kq0Os0Qv0Vx0`y0cz0iz0\
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xgzzczz`zzXzzVzzSzzOzzKzz
}
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
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times.